Answer:
0
Step-by-step explanation:
If ∑aₙ converges, then lim(n→∞)aₙ = 0.
Using ratio test, we can determine if the series converges:
If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.
If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.
lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) / (100ⁿ / n!)|
lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) × (n! / 100ⁿ)|
lim(n→∞) |(100 / (n+1)|
0 < 1
The series converges. Therefore, lim(n→∞)aₙ = 0.
It will take more than 60 miles depending on how long the home plate is
I have to assume that you mean it is a similar rectangle, since a triangle can not be similar to a rectangle. In that case the original measurements are 4x4.5.
By doubling them, you get a rectangle with the measurements of 8x9 and thus the area is 72
Answer:
Distance cover by Alyson = 16 miles
Step-by-step explanation:
Given:
Distance cover together = 39 miles
Assume;
Distance cover by Jeff = a
Distance cover by Alyson = a - 7
Find:
Distance cover by Alyson
Computation:
a + (a - 7) = 39
2a - 7 = 39
2a = 46
a = 23
Distance cover by Alyson = a - 7
Distance cover by Alyson = 23 - 7
Distance cover by Alyson = 16 miles
